Answer: [tex]3(x^{7}-8x^{6}+7x^{5})[/tex]
Step-by-step explanation:
The volume [tex]V[/tex] of a cube is given by the following equation:
[tex]V=(length)(width)(height)[/tex]
Where:
[tex]length=3x^{2}[/tex]
[tex]width=x^{3}[/tex]
[tex]height=x^{2}-8x+7[/tex]
Rewriting the equation with the given values:
[tex]V=(3x^{2})(x^{3})(x^{2}-8x+7)[/tex]
Solving:
[tex]V=3(x^{7}-8x^{6}+7x^{5})[/tex] This is the volume of the cube in terms of [tex]x[/tex]
